Problem 19 worked answer
Pen Nib’s First Move
Designed for Grade 3 · Uses Early Grade 3 math · About 2–6 minutes
Earn one jewelTumbled GarnetLevel 2
At a glance
- Part 1: Strike first, then Cleave, deals 20 damage.
- Part 2: Cleave first, then Strike, deals 22 damage, which is 2 more.
1. Strike first
Pen Nib doubles Strike’s 6 damage:
Cleave then deals its normal 8 damage:
The Ironclad deals 20 total damage.
2. Change only the order
If Cleave is first, Pen Nib doubles its 8 damage:
Strike then deals its normal 6 damage:
So Cleave first, then Strike, is the better order. It deals 22 total damage.
Why the order matters
The two plans both include one normal 6 and one normal 8. Pen Nib adds one extra copy of the first Attack’s damage:
- Strike first adds an extra 6.
- Cleave first adds an extra 8.
The ordinary sum stays the same, but the extra copy is larger when Cleave goes first. That makes the better total exactly damage greater.
Check
, so the two totals differ by the same amount as the two normal Attack values.
Technical fit and rating
MJ 3.0 · C2 · W1
Standard challenge · Light workload
Number and operations
How the rating works →mathjewels.com/answers/problems/19/